10.
Factor the following:
8 x^2 - 2 x - 10
Factor 2 out of 8 x^2 - 2 x - 10:
2 (4 x^2 - x - 5)
Factor the quadratic 4 x^2 - x - 5. The coefficient of x^2 is 4 and the constant term is -5. The product of 4 and -5 is -20. The factors of -20 which sum to -1 are 4 and -5. So 4 x^2 - x - 5 = 4 x^2 - 5 x + 4 x - 5 = 4 x (x + 1) - 5 (x + 1):
2 4 x (x + 1) - 5 (x + 1)
Factor x + 1 from 4 x (x + 1) - 5 (x + 1):
Answer: 2 (x + 1) (4 x - 5)
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13.
Factor the following:
16 x^2 - 24 x + 8
Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)
Factor the quadratic 2 x^2 - 3 x + 1. The coefficient of x^2 is 2 and the constant term is 1. The product of 2 and 1 is 2. The factors of 2 which sum to -3 are -1 and -2. So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)
Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
Answer: 8 (2 x - 1) (x - 1)
Answer:
5 dollars
Step-by-step explanation:
multiply 100 and 1.25 and get 125 then 130 minus 125 is 5 hope this helps god bless
4x dollars left bc 2.5x -3= 5.5 plus 1.5x plus 4=5.5 and together they equal to 11 and 15-11=4
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan x = 
Consider the left side
= 
( multiply numerator and denominator by cos²x to clear fractions
= 
← ( cos²x + sin²x = 1 ]
= cos²x - sin²x
= right side , thus proven
Answer:
1 3/4
Step-by-step explanation:
Frist he turned the proper fraction into an inproper which came to be 5/2. Then he subtracted 5/2 out of 3/4 Then after that you get 7/4 but then you make it a proper fraction you will get 1 3/4
